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3 years ago

1. Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms. What is the answer?

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

Answer:

7x + 9

Step-by-step explanation:

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Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.Tiles

Ugo [173]

By definition, the average rate of change is given by:

$AVR = \frac{f(x2)-f(x1)}{x2-x1}$

We evaluate each of the functions in the given interval.

We have then:

For f (x) = x ^ 2 + 3x:

Evaluating for x = -2:

$f (-2) = (-2) ^ 2 + 3 (-2)\\f (-2) = 4 - 6\\f (-2) = - 2$

Evaluating for x = 3:

$f (3) = (3) ^ 2 + 3 (3)\\f (3) = 9 + 9\\f (3) = 18$

Then, the AVR is:

$AVR = \frac{18-(-2)}{3-(-2)}$

$AVR = \frac{18+2}{3+2}$

$AVR = \frac{20}{5}$

$AVR = 4$

For f (x) = 3x - 8:

Evaluating for x =4:

$f (4) = 3 (4) - 8\\f (4) = 12 - 8\\f (4) = 4$

Evaluating for x = 5:

$f (5) = 3 (5) - 8\\f (5) = 15 - 8\\f (5) = 7$

Then, the AVR is:

$AVR = \frac{7-4}{5-4}$

$AVR = \frac{3}{1}$

$AVR = 3$

For f (x) = x ^ 2 - 2x:

Evaluating for x = -3:

$f (-3) = (-3) ^ 2 - 2 (-3)\\f (-3) = 9 + 6\\f (-3) = 15$

Evaluating for x = 4:

$f (4) = (4) ^ 2 - 2 (4)\\f (4) = 16 - 8\\f (4) = 8$

Then, the AVR is:

$AVR = \frac{8-15}{4-(-3)}$

$AVR = \frac{-7}{4+3}$

$AVR = \frac{-7}{7}$

$AVR = -1$

For f (x) = x ^ 2 - 5:

Evaluating for x = -1:

$f (-1) = (-1) ^ 2 - 5\\f (-1) = 1 - 5\\f (-1) = - 4$

Evaluating for x = 1:

$f (1) = (1) ^ 2 - 5\\f (1) = 1 - 5\\f (1) = - 4$

Then, the AVR is:

$AVR = \frac{-4-(-4)}{1-(-1)}$

$AVR = \frac{-4+4}{1+1}$

$AVR = \frac{0}{2}$

$AVR = 0$

Answer:

from the greatest to the least value based on the average rate of change in the specified interval:

f(x) = x^2 + 3x interval: [-2, 3]

f(x) = 3x - 8 interval: [4, 5]

f(x) = x^2 - 5 interval: [-1, 1]

f(x) = x^2 - 2x interval: [-3, 4]

4 0

3 years ago

Please help ASAP.......

marta [7]

Answer:

The answer is x=10

Step-by-step explanation:

5/6x - 10 = 1/3x -5 multiple both sides by 6

5x - 60 = 2x -30 move the terms

5x - 2x = -30 +60

3x = 30 divide by 3

x = 10

3 0

3 years ago

I need help with this question

Mumz [18]

Answer:

im pretty sure the answer is 60

Step-by-step explanation:

6 ten thousands is 60,000

60,000 divided by 1000 is 60

8 0

3 years ago

Read 2 more answers

Find the volume of the sphere and use 3.14 for T. You may

nirvana33 [79]

Answer:

The answer is C. 904.32 in^3.

Step-by-step explanation:

To find the volume of a sphere with a radius of 6 in, start by using the formula for a sphere, which is V= $\frac{4}{3}$ $\pi$ $r^{3}$ . However, for this formula instead of using ( $\pi$ ), 3.14 will be used.

Now, plug the radius into the formula, and solve for V.

Finally, the answer will be 904.32 in^3.

6 0

3 years ago

What does the C equal to in -1/6 +7/6 = c

STALIN [3.7K]

Answer:

c = 1

Step-by-step explanation:

we have -1/6 + 7/6

since 6 is a common denominator we can do

$\frac{-1}{6} +\frac{7}{6} = c\\\frac{-1+7}{6} = c\\\frac{6}{6} = c\\1 = c\\c = 1$

6 0

3 years ago